The number 3342
3342 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 557. Divisors (8): 1, 2, 3, 6, 557, 1114, 1671, 3342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3342 is composite. Its prime factorisation is
- 3
The divisors add up to 6696; without 3342 itself that is 3354, so 3342 is abundant (3354 is more than 3342). Euler's totient φ(3342) = 1112 numbers up to 3342 share no factor with it.
- 4
The digits of 3342 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3342 = 2 \times 3 \times 557 \]
3342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6696 |
| Euler totient φ(n) | 1112 |
| Square | 11168964 |
| Cube | 37326677688 |
| Square root | 57.810034 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.342 × |
3342 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty-two |
| Roman numerals | MMMCCCXLII |
| Binary (base 2) | 110100001110 |
| Octal (base 8) | 6416 |
| Hexadecimal (base 16) | D0E |
| Base 3 | 11120210 |
| As time | 3342 seconds = 55 min 42 s |
Is 3342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3342 ÷ 2 = 1671) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3342 ÷ 3 = 1114) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3342 ÷ 6 = 557) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3342 a prime number?
No. 3342 = 2 × 3 × 557, so it is divisible by 2.
What are the factors of 3342?
1, 2, 3, 6, 557, 1114, 1671, 3342.
What is 3342 in binary?
110100001110 (hexadecimal D0E, octal 6416).
What is the square root of 3342?
About 57.8100.
What is 3342 in Roman numerals?
MMMCCCXLII.
Is 3342 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3342?
It is a composite number with 8 divisors.